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Finding the Fourth Proportional to 470,457.81, 705,464.37 and 182,404.26

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Solution

The fourth proportional to 470,457.81, 705,464.37 and 182,404.26 is: 273,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,457.81 : 705,464.37 = 182,404.26 : x
  2. Step 2: Convert to fraction form
    470,457.81/705,464.37 = 182,404.26/x
  3. Step 3: Cross multiply
    470,457.81x = 705,464.37 × 182,404.26
  4. Step 4: Simplify right side
    470,457.81x = 128,679,706,366.22
  5. Step 5: Solve for x
    x = 128,679,706,366.22/470,457.81
  6. Step 6: Final answer
    x = 273,520.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.